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4343822945856 = 263696492
BaseRepresentation
bin111111001101100000000…
…001100000111001000000
3120101021011111020001000000
4333031200001200321000
51032132122133231411
613123305201000000
7625554660554142
oct77154001407100
916337144201000
104343822945856
11142522889a799
125a1a41623000
1325680ba19224
14110356674c92
1577ed5aa0956
hex3f360060e40

4343822945856 has 147 divisors (see below), whose sum is σ = 12925087960161. Its totient is φ = 1447790920704.

The previous prime is 4343822945789. The next prime is 4343822945863. The reversal of 4343822945856 is 6585492283434.

The square root of 4343822945856 is 2084184.

It is a perfect power (a square), and thus also a powerful number.

4343822945856 is a `hidden beast` number, since 4 + 3 + 43 + 8 + 2 + 2 + 9 + 4 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 463238139456 + 3880584806400 = 680616^2 + 1969920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4343822945793 and 4343822945802.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 450178920 + ... + 450188568.

Almost surely, 24343822945856 is an apocalyptic number.

4343822945856 is the 2084184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4343822945856

4343822945856 is an abundant number, since it is smaller than the sum of its proper divisors (8581265014305).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4343822945856 is an frugal number, since it uses more digits than its factorization.

4343822945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19328 (or 9654 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 4343822945856 in words is "four trillion, three hundred forty-three billion, eight hundred twenty-two million, nine hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 9649 11664 15552 19298 23328 28947 38596 46656 57894 77192 86841 115788 154384 173682 231576 260523 308768 347364 463152 521046 617536 694728 781569 926304 1042092 1389456 1563138 1852608 2084184 2344707 2778912 3126276 4168368 4689414 5557824 6252552 7034121 8336736 9378828 12505104 14068242 16673472 18757656 25010208 28136484 37515312 50020416 56272968 75030624 93103201 112545936 150061248 186206402 225091872 279309603 372412804 450183744 558619206 744825608 837928809 1117238412 1489651216 1675857618 2234476824 2513786427 2979302432 3351715236 4468953648 5027572854 5958604864 6703430472 7541359281 8937907296 10055145708 13406860944 15082718562 17875814592 20110291416 22624077843 26813721888 30165437124 40220582832 45248155686 53627443776 60330874248 67872233529 80441165664 90496311372 120661748496 135744467058 160882331328 180992622744 241323496992 271488934116 361985245488 482646993984 542977868232 723970490976 1085955736464 1447940981952 2171911472928 4343822945856